The algebra of the nerves of omega-categories
Category Theory
2013-09-03 v1
Abstract
We show that the nerve of a strict omega-category can be described algebraically as a simplicial set with additional operations subject to certain identities. The resulting structures are called sets with complicial identities. We also construct an equivalence between the categories of strict omega-categories and of sets with complical identities.
Keywords
Cite
@article{arxiv.1307.4236,
title = {The algebra of the nerves of omega-categories},
author = {Richard Steiner},
journal= {arXiv preprint arXiv:1307.4236},
year = {2013}
}
Comments
49 pages